Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
402 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 115 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C2×#14556052 | C2 | semidirect |
| 4. #17985906 | C2 | semidirect |
| 5. #17985762 | C2 | semidirect |
| 6. #17985753 | C2 | semidirect |
| 24. C2×SD16×C71 | C4 | semidirect |
| 49. C2×Q8×C71 | C2×C4 | semidirect |
| 61. C2×C8×C71 | C2×C4 | semidirect |
| 99. C2×Dic71 | SD16 | semidirect |
| 134. C71 | #1877 | semidirect |
| 147. C2×SD16 | Dic71 | semidirect |
| 166. C2×Q8 | C2×Dic71 | semidirect |
| 188. C2×C8 | C2×Dic71 | semidirect |